THE EQUATION OF STATE OF QUASI-PARTICLE MODEL OF QUARK–GLUON PLASMA AT FINITE CHEMICAL POTENTIAL

2010 ◽  
Vol 25 (01) ◽  
pp. 47-54 ◽  
Author(s):  
A-MENG ZHAO ◽  
JING CAO ◽  
LIU-JUN LUO ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Equation Of State ◽  
Effective Mass ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Gluon Plasma ◽  
Quark Propagator ◽  
Particle Model ◽  
Quasi Particle ◽  
Model Independent ◽  
Free Quark

In this letter we propose a new method of calculating the equation of state (EOS) of quasi-particle model of quark–gluon plasma at finite chemical potential. In the quasi-particle model the quark propagator has the form of a free quark propagator with a temperature and density dependent effective mass. From this quark propagator the EOS at finite chemical potential is calculated using the model-independent formula proposed in Refs. 16 and 17. A comparison between our EOS and the cold, perturbative EOS of QCD proposed in Ref. 23 is made.

scholarly journals Landau's statistical mechanics for quasi-particle models

2014 ◽  
Vol 29 (10) ◽  
pp. 1450056 ◽  
Author(s):  
Vishnu M. Bannur
Keyword(s):  
Energy Density ◽  
Statistical Mechanics ◽  
Quark Gluon Plasma ◽  
Statistical Physics ◽  
Particle System ◽  
Gluon Plasma ◽  
Particle Model ◽  
Quasi Particle ◽  
Thermodynamics And Statistical Mechanics

Landau's formalism of statistical mechanics [following L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon Press, Oxford, 1980)] is applied to the quasi-particle model of quark–gluon plasma. Here, one starts from the expression for pressure and develop all thermodynamics. It is a general formalism and consistent with our earlier studies [V. M. Bannur, Phys. Lett. B647, 271 (2007)] based on Pathria's formalism [following R. K. Pathria, Statistical Mechanics (Butterworth-Heinemann, Oxford, 1977)]. In Pathria's formalism, one starts from the expression for energy density and develop thermodynamics. Both the formalisms are consistent with thermodynamics and statistical mechanics. Under certain conditions, which are wrongly called thermodynamic consistent relation, we recover other formalism of quasi-particle system, like in M. I. Gorenstein and S. N. Yang, Phys. Rev. D52, 5206 (1995), widely studied in quark–gluon plasma.

scholarly journals Equation of state of quark-gluon plasma using a simple phenomenological model

2018 ◽  
Vol 182 ◽  
pp. 02070 ◽  
Author(s):  
Yogesh Kumar
Keyword(s):  
Equation Of State ◽  
Effective Mass ◽  
Phenomenological Model ◽  
Quark Gluon Plasma ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
High Energy ◽  
Ion Collisions ◽  
Theoretical Results ◽  
Good Agreement

The equation of state (EoS) of quark-gluon plasma (QGP) using a phenomenological model is studied in which finite value of quark mass is modified as effective mass. The effective mass of these quasiparticle generated due to the interaction of quarks and gluons with the surrounding matter in the medium. The model results provide EoS of QGP which are in good agreement and found almost similar results to the earlier theoretical results. This model is successfully applied to the description of the properties of quark-gluon plasma created in the collision of nucleons. Thus, the effective mass of quark shows the useful information to study the EoS of QGP in high energy heavy-ion collisions.

scholarly journals The Quark-Gluon Plasma Equation of State and the Generalized Uncertainty Principle

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
L. I. Abou-Salem ◽  
N. M. El Naggar ◽  
I. A. Elmashad
Keyword(s):  
Asymptotic Behavior ◽  
Equation Of State ◽  
Energy Density ◽  
Uncertainty Principle ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Generalized Uncertainty Principle ◽  
Gluon Plasma ◽  
Minimal Length ◽  
Interaction Measure

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case ofnf=0,nf=2, andnf=2+1flavors for the energy density, the pressure, and the interaction measure. The exciting point is the large value of bag pressure especially in case ofnf=2+1flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.

Color path integral equation of state of the quark–gluon plasma at nonzero chemical potential

2015 ◽  
Vol 57 (4) ◽  
pp. 044004 ◽  
Author(s):  
V S Filinov ◽  
M Bonitz ◽  
Yu B Ivanov ◽  
E-M Ilgenfritz ◽  
V E Fortov
Keyword(s):  
Integral Equation ◽  
Equation Of State ◽  
Path Integral ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Gluon Plasma

scholarly journals Phenomenological models of the quark-gluon plasma equation of state

2002 ◽  
Vol 106-107 ◽  
pp. 528-530
Author(s):  
Peter N. Meisinger ◽  
Travis R. Miller ◽  
Michael C. Ogilvie
Keyword(s):  
Equation Of State ◽  
Phenomenological Models ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Plasma Equation

scholarly journals Propagation of non-linear waves in hot, ideal, and non-extensive quark–gluon plasma

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Trambak Bhattacharyya ◽  
Abhik Mukherjee
Keyword(s):  
Equation Of State ◽  
Energy Density ◽  
Quark Gluon Plasma ◽  
Wave Solution ◽  
Density Perturbation ◽  
Gluon Plasma ◽  
Breaking Wave ◽  
Linear Waves ◽  
Momentum Distributions ◽  
Non Linear

Abstract We study the propagation of energy density perturbation in a hot, ideal quark–gluon medium in which quarks and gluons follow the Tsallis-like momentum distributions. We have observed that a non-extensive MIT bag equation of state obtained with the help of the quantum Tsallis-like distributions gives rise to a breaking wave solution of the equation dictating the evolution of energy density perturbation. However, the breaking of waves is delayed when the value of the Tsallis q parameter and the Tsallis temperature T are higher.

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